Marian borrowed money to buy a sound system that costs $450. She is charged 5% simple interest for one year. What is the total amount that she pays for the second system if she pays the full amount in one year?

Respuesta :

5% of $450 is $22.50

Add.
450+22.50

Sum.
472.50 for one years interest.

Answer:

$472.50

Step-by-step explanation:

The simple interest is calculated with

[tex]A=P(1+rt)[/tex]

Where [tex]A[/tex] represents the final amount of money, [tex]P[/tex] is the principal, [tex]r[/tex] is the interest rate in decimal number and [tex]t[/tex] is the time.

So, from the problem, we have [tex]P=450;r=0.05;t=1[/tex]

Replacing these values, we have

[tex]A=P(1+rt)\\A=450(1+0.05(1))=472.50[/tex]

This means Marian has to pay $472.50